Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models

Xue-Yang Song, Chao-Ming Jian, and Leon Balents
Phys. Rev. Lett. 119, 216601 – Published 20 November 2017
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Abstract

Prominent systems like the high-Tc cuprates and heavy fermions display intriguing features going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes a (0+1)D quantum cluster with random all-to-all four-fermion interactions among N fermion modes which becomes exactly solvable as N, exhibiting a zero-dimensional non-Fermi-liquid with emergent conformal symmetry and complete absence of quasiparticles. Here we study a lattice of complex-fermion SYK dots with random intersite quadratic hopping. Combining the imaginary time path integral with real time path integral formulation, we obtain a heavy Fermi liquid to incoherent metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. We find linear in temperature resistivity in the incoherent regime, and a Lorentz ratio L(κρ/T) varies between two universal values as a function of temperature. Our work exemplifies an analytically controlled study of a strongly correlated metal.

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  • Received 23 May 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.216601

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Xue-Yang Song1,2, Chao-Ming Jian2,3, and Leon Balents2

  • 1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
  • 2Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106, USA
  • 3Station Q, Microsoft Research, Santa Barbara, California 93106-6105, USA

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Issue

Vol. 119, Iss. 21 — 24 November 2017

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